1345830958080 has 1056 divisors, whose sum is σ = 5857099113600. Its totient is φ = 291400187904.

The previous prime is 1345830958057. The next prime is 1345830958081. The reversal of 1345830958080 is 808590385431.

1345830958080 is a `hidden beast` number, since 1 + 3 + 4 + 58 + 3 + 0 + 9 + 580 + 8 + 0 = 666.

It is a super-2 number, since 2×1345830958080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345830958081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128696212 + ... + 128706668.

Almost surely, 2^{1345830958080} is an apocalyptic number.

1345830958080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345830958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928549556800).

1345830958080 is an abundant number, since it is smaller than the sum of its proper divisors (4511268155520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1345830958080 is a wasteful number, since it uses less digits than its factorization.

1345830958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10524 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1345830958080 in words is "one trillion, three hundred forty-five billion, eight hundred thirty million, nine hundred fifty-eight thousand, eighty".